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Finding the Fourth Proportional to 23,819.78, 35,722.17 and 8,620.38

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Solution

The fourth proportional to 23,819.78, 35,722.17 and 8,620.38 is: 12,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819.78 : 35,722.17 = 8,620.38 : x
  2. Step 2: Convert to fraction form
    23,819.78/35,722.17 = 8,620.38/x
  3. Step 3: Cross multiply
    23,819.78x = 35,722.17 × 8,620.38
  4. Step 4: Simplify right side
    23,819.78x = 307,938,679.82
  5. Step 5: Solve for x
    x = 307,938,679.82/23,819.78
  6. Step 6: Final answer
    x = 12,927.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.